Question

[x]=2-x
Parte intreaga din x = 2-x

Answer 1

$x + x = 2 \\ 2x = 2 \\ x = \frac{2}{2} \\ x = 1$

Answer 2

$[x]=2-x\ \textless \ =\ \textgreater \ 2-x \leq x \ \textless \ 2-x+1 \ \textless \ =\ \textgreater \ 2-x \leq x\ \textless \ 3-x|+x \\ \ \textless \ =\ \textgreater \ 2-x+x \leq x \ \textless \ 3 \ \textless \ =\ \textgreater \ 2 \leq x \ \textless \ 3 \ \textless \ =\ \textgreater \ x \in [2,3)$

Pentru rezolvarea ecuatiilor cu partea intreaga de forma:
[x]=2-x, trebuie sa intelegem ca, pentru [x]=a, x∈R => a≤x<a+1 si rezolvam aceasta inecuatie.
Sper ca te-am lamurit.